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[A computer program for the implicit regression of the Hill equation].
Acta Biologica Et Medica Germanica
|January 1, 1975
Summary
This study presents a computer program for the implicit regression of the Hill equation, enabling estimation of key parameters like binding constant and Hill coefficient. The program utilizes the Gauss method for implicit functions and calculates mean errors for linear models.
Area of Science:
- Biochemistry
- Pharmacology
- Computational Biology
Context:
- The Hill equation is widely used to model ligand-receptor binding and enzyme kinetics.
- Implicit regression methods are necessary when the Hill equation cannot be easily rearranged into an explicit form.
- Accurate parameter estimation is crucial for understanding biological systems.
Purpose:
- To develop and describe a computer program for the implicit regression of the Hill equation.
- To implement the Gauss method for solving implicit functions within the regression context.
- To enable the estimation of the binding constant, Hill coefficient, and end extinction.
Summary:
- A computer program was developed using ALGOL 60 for the Robotron 300 computer.
- The program performs implicit regression of the Hill equation based on the Gauss method.
- It estimates the binding constant, Hill coefficient, and end extinction, with mean errors calculated for the linear model.
Impact:
- Provides a computational tool for researchers studying binding kinetics and dose-response relationships.
- Facilitates more accurate analysis of experimental data described by the Hill equation.
- The program is available upon request, promoting wider adoption and application in scientific research.